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          <h1 class="post-title" itemprop="name headline">PAT A1034</h1>
        

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        <p>One way that the police finds the head of a gang is to check people’s phone calls. If there is a phone call between A and B, we say that A and B is related. The weight of a relation is defined to be the total time length of all the phone calls made between the two persons. A “Gang” is a cluster of more than 2 persons who are related to each other with total relation weight being greater than a given threshold K. In each gang, the one with maximum total weight is the head. Now given a list of phone calls, you are supposed to find the gangs and the heads.</p>
<p>Input Specification:</p>
<p>Each input file contains one test case. For each case, the first line contains two positive numbers N and K (both less than or equal to 1000), the number of phone calls and the weight threthold, respectively. Then N lines follow, each in the following format:</p>
<p>Name1 Name2 Time</p>
<p>where Name1 and Name2 are the names of people at the two ends of the call, and Time is the length of the call. A name is a string of three capital letters chosen from A-Z. A time length is a positive integer which is no more than 1000 minutes.</p>
<p>Output Specification:</p>
<p>For each test case, first print in a line the total number of gangs. Then for each gang, print in a line the name of the head and the total number of the members. It is guaranteed that the head is unique for each gang. The output must be sorted according to the alphabetical order of the names of the heads.</p>
<p>Sample Input 1:<br>8 59<br>AAA BBB 10<br>BBB AAA 20<br>AAA CCC 40<br>DDD EEE 5<br>EEE DDD 70<br>FFF GGG 30<br>GGG HHH 20<br>HHH FFF 10<br>Sample Output 1:<br>2<br>AAA 3<br>GGG 3<br>Sample Input 2:<br>8 70<br>AAA BBB 10<br>BBB AAA 20<br>AAA CCC 40<br>DDD EEE 5<br>EEE DDD 70<br>FFF GGG 30<br>GGG HHH 20<br>HHH FFF 10<br>Sample Output 2:<br>0</p>
<figure class="highlight plain"><table><tr><td class="gutter"><pre><span class="line">1</span><br><span class="line">2</span><br><span class="line">3</span><br><span class="line">4</span><br><span class="line">5</span><br><span class="line">6</span><br><span class="line">7</span><br><span class="line">8</span><br><span class="line">9</span><br><span class="line">10</span><br><span class="line">11</span><br><span class="line">12</span><br><span class="line">13</span><br><span class="line">14</span><br><span class="line">15</span><br><span class="line">16</span><br><span class="line">17</span><br><span class="line">18</span><br><span class="line">19</span><br><span class="line">20</span><br><span class="line">21</span><br><span class="line">22</span><br><span class="line">23</span><br><span class="line">24</span><br><span class="line">25</span><br><span class="line">26</span><br><span class="line">27</span><br><span class="line">28</span><br><span class="line">29</span><br><span class="line">30</span><br><span class="line">31</span><br><span class="line">32</span><br><span class="line">33</span><br><span class="line">34</span><br><span class="line">35</span><br><span class="line">36</span><br><span class="line">37</span><br><span class="line">38</span><br><span class="line">39</span><br><span class="line">40</span><br><span class="line">41</span><br><span class="line">42</span><br><span class="line">43</span><br><span class="line">44</span><br><span class="line">45</span><br><span class="line">46</span><br><span class="line">47</span><br><span class="line">48</span><br><span class="line">49</span><br><span class="line">50</span><br><span class="line">51</span><br><span class="line">52</span><br><span class="line">53</span><br><span class="line">54</span><br><span class="line">55</span><br><span class="line">56</span><br><span class="line">57</span><br><span class="line">58</span><br><span class="line">59</span><br><span class="line">60</span><br><span class="line">61</span><br><span class="line">62</span><br><span class="line">63</span><br><span class="line">64</span><br><span class="line">65</span><br><span class="line">66</span><br><span class="line">67</span><br><span class="line">68</span><br><span class="line">69</span><br><span class="line">70</span><br><span class="line">71</span><br><span class="line">72</span><br><span class="line">73</span><br><span class="line">74</span><br><span class="line">75</span><br><span class="line">76</span><br><span class="line">77</span><br><span class="line">78</span><br><span class="line">79</span><br><span class="line">80</span><br><span class="line">81</span><br><span class="line">82</span><br><span class="line">83</span><br><span class="line">84</span><br><span class="line">85</span><br><span class="line">86</span><br><span class="line">87</span><br></pre></td><td class="code"><pre><span class="line">#include &quot;stdio.h&quot;</span><br><span class="line">#include &quot;math.h&quot;</span><br><span class="line">#include &quot;string.h&quot;</span><br><span class="line">#include &quot;iostream&quot;</span><br><span class="line">//#include &quot;stdlib.h&quot;</span><br><span class="line">#include &quot;vector&quot;</span><br><span class="line">//#include &quot;set&quot;</span><br><span class="line">#include &quot;map&quot;</span><br><span class="line">//#include &quot;stack&quot;</span><br><span class="line">#include &quot;queue&quot;</span><br><span class="line">#include &quot;algorithm&quot;</span><br><span class="line">using namespace std;</span><br><span class="line"></span><br><span class="line">//typedef long long LL;</span><br><span class="line">const int maxn = 2010;//总人数</span><br><span class="line">const int INF = 1000000000;//无穷大</span><br><span class="line"></span><br><span class="line">map&lt;int, string&gt; intToString;//编号-&gt;姓名</span><br><span class="line">map&lt;string, int&gt; stringToInt;//姓名-&gt;编号</span><br><span class="line">map&lt;string, int&gt; Gang;//head-&gt;人数</span><br><span class="line">int G[maxn][maxn] = &#123;0&#125;, weight[maxn] = &#123;0&#125;;//邻接矩阵G，点权weight</span><br><span class="line">int n, k, numPerson = 0;//边数n, 下限k, 总人数numPerson</span><br><span class="line">bool vis[maxn] = &#123;false&#125;;//标记是否被访问</span><br><span class="line"></span><br><span class="line">//DFS函数访问单个连通块，nowVisit为当前访问的编号</span><br><span class="line">//head为头目，numMember为成员编号，totoalValue为连通块的总边权</span><br><span class="line">void DFS(int nowVisit, int&amp; head, int&amp; numMember, int&amp; totalValue)&#123;</span><br><span class="line">    numMember++;//成员人数加1</span><br><span class="line">    vis[nowVisit] = true;//标记nowVisit已访问</span><br><span class="line">    if (weight[nowVisit] &gt; weight[head]) &#123;</span><br><span class="line">        head = nowVisit;//换老大了</span><br><span class="line">    &#125;</span><br><span class="line">    for (int i = 0; i &lt; numPerson; i++) &#123;//枚举所有人</span><br><span class="line">        if (G[nowVisit][i] &gt; 0) &#123;//如果从nowVisit能达到i</span><br><span class="line">            totalValue += G[nowVisit][i];//连通块的总边权增加该边权</span><br><span class="line">            G[nowVisit][i] = G[i][nowVisit] = 0;//删除这条边，防止回头</span><br><span class="line">            if (vis[i] == false) &#123;</span><br><span class="line">                DFS(i, head, numMember, totalValue);</span><br><span class="line">            &#125;</span><br><span class="line">        &#125;</span><br><span class="line">    &#125;</span><br><span class="line">&#125;</span><br><span class="line">//DFSTrave函数遍历整个图，获取每个连通块的信息</span><br><span class="line">void DFSTrave()&#123;</span><br><span class="line">    for (int i = 0; i &lt; numPerson; i++) &#123;//枚举所有人</span><br><span class="line">        if (vis[i] == false) &#123;</span><br><span class="line">            int head = i, numMember = 0, totalValue = 0;//头目、成员数目，总边权</span><br><span class="line">            DFS(i, head, numMember, totalValue);</span><br><span class="line">            if (numMember &gt; 2 &amp;&amp; totalValue &gt; k) &#123;</span><br><span class="line">                //head人数为numMember</span><br><span class="line">                Gang[intToString[head]] = numMember;</span><br><span class="line">            &#125;</span><br><span class="line">        &#125;</span><br><span class="line">    &#125;</span><br><span class="line">&#125;</span><br><span class="line">//change函数返回姓名str对应的编号</span><br><span class="line">int change(string str)&#123;</span><br><span class="line">    if (stringToInt.find(str) != stringToInt.end()) &#123;//如果str已经出现过</span><br><span class="line">        return stringToInt[str];</span><br><span class="line">    &#125;else&#123;</span><br><span class="line">        stringToInt[str] = numPerson;//str的编号为strPerson</span><br><span class="line">        intToString[numPerson] = str;//建立对应关系</span><br><span class="line">        return numPerson++;</span><br><span class="line">    &#125;</span><br><span class="line">&#125;</span><br><span class="line"></span><br><span class="line">int main()&#123;</span><br><span class="line">    int w;</span><br><span class="line">    string str1, str2;</span><br><span class="line">    cin &gt;&gt; n &gt;&gt; k;</span><br><span class="line">    for (int i = 0; i &lt; n; i++) &#123;</span><br><span class="line">        cin &gt;&gt; str1 &gt;&gt; str2 &gt;&gt; w;//输入两个边的端点和点权</span><br><span class="line">        int id1 = change(str1);</span><br><span class="line">        int id2 = change(str2);</span><br><span class="line">        weight[id1] += w;</span><br><span class="line">        weight[id2] += w;</span><br><span class="line">        G[id1][id2] += w;</span><br><span class="line">        G[id2][id1] += w;</span><br><span class="line">    &#125;</span><br><span class="line">    DFSTrave();//遍历整个图所有连通块，获取gang的信息</span><br><span class="line">    cout &lt;&lt; Gang.size() &lt;&lt; endl;//gang的个数</span><br><span class="line">    map&lt;string, int&gt;::iterator it;</span><br><span class="line">    for (it = Gang.begin(); it != Gang.end(); it++) &#123;//遍历所有gang</span><br><span class="line">        cout &lt;&lt; it-&gt;first &lt;&lt; &quot; &quot; &lt;&lt; it-&gt;second &lt;&lt;endl;</span><br><span class="line">    &#125;</span><br><span class="line">    return 0;</span><br><span class="line">&#125;</span><br></pre></td></tr></table></figure>
      
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